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Finding the Fourth Proportional to 512.80, 769.28 and 166.03

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Solution

The fourth proportional to 512.80, 769.28 and 166.03 is: 249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 769.28 = 166.03 : x
  2. Step 2: Convert to fraction form
    512.80/769.28 = 166.03/x
  3. Step 3: Cross multiply
    512.80x = 769.28 × 166.03
  4. Step 4: Simplify right side
    512.80x = 127,720.81
  5. Step 5: Solve for x
    x = 127,720.81/512.80
  6. Step 6: Final answer
    x = 249.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.